What is the Greatest Common Factor of 9702 and 9716?

Greatest common factor (GCF) of 9702 and 9716 is 14.

GCF(9702,9716) = 14

We will now calculate the prime factors of 9702 and 9716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9702 and 9716.

How to find the GCF of 9702 and 9716?

We will first find the prime factorization of 9702 and 9716. After we will calculate the factors of 9702 and 9716 and find the biggest common factor number .

Step-1: Prime Factorization of 9702

Prime factors of 9702 are 2, 3, 7, 11. Prime factorization of 9702 in exponential form is:

9702 = 2¹ × 3² × 7² × 11¹

Step-2: Prime Factorization of 9716

Prime factors of 9716 are 2, 7, 347. Prime factorization of 9716 in exponential form is:

9716 = 2² × 7¹ × 347¹

Step-3: Factors of 9702

List of positive integer factors of 9702 that divides 9702 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 49, 63, 66, 77, 98, 99, 126, 147, 154, 198, 231, 294, 441, 462, 539, 693, 882, 1078, 1386, 1617, 3234, 4851

Step-4: Factors of 9716

List of positive integer factors of 9716 that divides 9702 without a remainder.

1, 2, 4, 7, 14, 28, 347, 694, 1388, 2429, 4858

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9702 and 9716. The biggest common factor number is the GCF number.
So the greatest common factor 9702 and 9716 is 14.

Also check out the Least Common Multiple of 9702 and 9716